Complex Variables : an Introduction /
This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of th...
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1991.
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| Series: | Graduate texts in mathematics ;
125. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | This text gives an overview of the basic properties of holomorphic functions of one complex variable. Topics studied in this overview include a detailed description of differential forms, homotopy theory, and homology theory, as the analytic properties of holomorphic functions, the solvability of the inhomogeneous Cauchy-Riemann equation with emphasis on the notation of compact families, the theory of growth of subharmonic functions, and an introduction to the theory of sheaves, covering spaces and Riemann surfaces. To further illuminate the material, a large number of exercises of differing levels of difficulty have been added. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xii, 652 pages) |
| ISBN: | 9781461230243 (electronic bk.) 1461230241 (electronic bk.) |
| ISSN: | 0072-5285 ; |